We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of Ds (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with DH = 4 from finite size scaling. We find that the short distance spectral dimension is Ds (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.
|Original language||English (US)|
|Journal||Proceedings of Science|
|State||Published - 2011|
|Event||29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States|
Duration: Jul 10 2011 → Jul 16 2011
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